Fading regularization method for an inverse boundary value problem associated with the biharmonic equation
Year: 2024
Type: article
Abstract: In this paper, we propose a numerical algorithm that combines the fading regularization method with the method of fundamental solutions (MFS) to solve a Cauchy problem associated with the biharmonic equation. We introduce a new stopping criterion for the iterative process and compare its performance with previous criteria. Numerical simulations using MFS validate the accuracy of this stopping criterion for both compatible and noisy data and demonstrate the convergence, stability, and efficiency of the proposed algorithm, as well as its ability to deblur noisy data.
Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, École Nationale Supérieure de Techniques Avancées, Normandie Université, Institut Polytechnique de Paris, École Nationale Supérieure de Techniques Avancées Paris, Université de Caen Normandie, École Nationale Supérieure de Mécanique et d'Aérotechnique, Institut Pprime, Université de Poitiers
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,160
Funders: Campus France, Région Normandie
OpenAlex ID: W4402655028